Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Chapter 4, Problem 2RQ
What does the performance specification for a first-order system tell us?
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response is the response of a system after the transient response.
The input and output relationship of a process plant is given by:
3s+1
Y(s) =
U(s)
s3+9s2+26s+ 24
Identify the correct diagonal canonical form for the process plant system from the list below:
(Note: You should select the correct answer number and also provide us with the calculation notes. Remember, all your
calculation notes must be attached and uploaded as a separate document. It should be clean and readable with question
numbers and their corresponding solution notes. Failure to provide this calculation notes could result in the candidate
being awarded zero marks. Also, you may use MATLAB or any other calculation tools to cross-check answers should you
wish to).
O a.
-2
0
0
x = 0
-3
0
x+1|u; y = [2.5 6 8]x
0
0
-4]
O b.
4
0
0
x =
0
-3
0
0
-2]
-0.31
0 x+ 0.3 u; y = [18 26 9]x
[-0.3]
O c.
4
0
0
-2.51
x =
-3
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u; y = [0 3 1]x
0
0
-21
-5.5
O d.
None of the above
2. The state-equations of the control system shown in Fig.1 is:
U(s)
2
Y(s)
s(s? + 3s + 12)
Chapter 4 Solutions
Control Systems Engineering
Ch. 4 - Prob. 1RQCh. 4 - What does the performance specification for a...Ch. 4 - Prob. 3RQCh. 4 - In a system with an input and an output, what...Ch. 4 - Prob. 5RQCh. 4 - Prob. 6RQCh. 4 - 7. What is the difference between the natural...Ch. 4 - Prob. 8RQCh. 4 - Prob. 9RQCh. 4 - Prob. 10RQ
Ch. 4 - List five specifications for a second-order...Ch. 4 - Prob. 12RQCh. 4 - What pole locations characterize (1) the...Ch. 4 - Prob. 14RQCh. 4 - How can you justify pole-zero cancellation?Ch. 4 - Prob. 16RQCh. 4 - 17. What is the relationship between , which...Ch. 4 - Name a major advantage of using time-domain...Ch. 4 - Prob. 19RQCh. 4 - What three pieces of information must be given in...Ch. 4 - 21. How can the poles of a system be found from...Ch. 4 - Prob. 1PCh. 4 - Prob. 2PCh. 4 - MATIAB ML 3. Plot the step responses for Problem 2...Ch. 4 - Find the capacitor voltage in the network shown in...Ch. 4 - For the system shown in Figure P4.3, (a) find an...Ch. 4 - Prob. 8PCh. 4 - MATLAB ML 9. Use MATLAB to find the poles of...Ch. 4 - Find the transfer function and poles of the system...Ch. 4 - MATLAB ML 11. Repeat Problem 10 using MATLAB....Ch. 4 - Write the general form of the capacitor voltage...Ch. 4 - Solve for x(t) in the system shown in Figure P4.5...Ch. 4 - Prob. 15PCh. 4 - Prob. 16PCh. 4 - Calculate the exact response of each system of...Ch. 4 - Prob. 18PCh. 4 - Prob. 19PCh. 4 - For each of the second-order systems that follow,...Ch. 4 - MATLAB ML 21. Repeat Problem 20 using MATLAB. Have...Ch. 4 - GUI Tool GUIT
22. Use MATLAB’s LTI Viewer and...Ch. 4 - Prob. 23PCh. 4 - Find the transfer function of a second-order...Ch. 4 - For the system shown in Figure P4.7, do the...Ch. 4 - For the system shown in Figure P4.8, a step torque...Ch. 4 - Prob. 28PCh. 4 - Prob. 29PCh. 4 - Prob. 30PCh. 4 - Prob. 31PCh. 4 - Prob. 32PCh. 4 - Prob. 33PCh. 4 - Prob. 34PCh. 4 - Prob. 35PCh. 4 - Prob. 36PCh. 4 - State Space SS 38. A system is represented by the...Ch. 4 - Prob. 39PCh. 4 - Prob. 40PCh. 4 - State Space SS 41. Given the following system...Ch. 4 - State Space SS 42. Solve the following state...Ch. 4 - Prob. 43PCh. 4 - Prob. 44PCh. 4 - Prob. 46PCh. 4 - Prob. 47PCh. 4 - Prob. 48PCh. 4 - Prob. 53PCh. 4 - Prob. 54PCh. 4 - A MOEMS (optical MEMS) is a MEMS (Micro...Ch. 4 - Prob. 56PCh. 4 - Prob. 59PCh. 4 - Prob. 60PCh. 4 - Prob. 61PCh. 4 - Prob. 63PCh. 4 - Prob. 67PCh. 4 - Figure P4.l6 shows the step response of an...Ch. 4 - Figure P4. I 7 shows the free-body diagrams for...Ch. 4 - Find an equation that relates 2% settling time to...Ch. 4 - Prob. 74PCh. 4 - Prob. 75PCh. 4 - 76. Find J and K in the rotational system shown in...Ch. 4 - Given the system shown in Figure P4.22, find the...Ch. 4 - Prob. 78PCh. 4 - Find M and K, shown in the system of Figure P4.24,...Ch. 4 - If vi(t) is a step voltage in the network shown in...Ch. 4 - Prob. 81PCh. 4 - Prob. 82PCh. 4 - For the circuit shown in Figure P4.26, find the...Ch. 4 - Prob. 84PCh. 4 - Prob. 86P
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- answer with complete solutionarrow_forward6. The figure below represents a time response of a control system. y(r) 0.63 What is it? a) Unit-step response of a Prototype First-Order System; b) Unit-Impulse Response of a Prototype First-Order System; c) Unit-Step Response of a Prototype Second-Order System; d) Unit-Impulse Response of a Prototype Second-Order System.arrow_forwardConsider a causal second-order system with the transfer function 1 G(s) = 1+2s+s² 1 with a unit-step R(s) = as an input. Let C(s) be the corresponding output. The time S taken by the system output c(t) to reach 94% of its steady-state value lim c(t), rounded t→∞o off to two decimal places, is (a) 5.25 (c) 2.81 (b) 4.50 (d) 3.89arrow_forward
- is an interconnection of components forming a system configuration that will provide a desired system response. Closed system Open system System control Systemarrow_forwardIn the example on the pages 29 30, the system will be stable if 0arrow_forward4(а) Describe, in your own words, the difference between a deterministic finite automa- ton and a nondeterministic automaton. 4(b) In your own words compare and contrast a Linear Bounded Automaton, a Push- down Automaton and a Turing Machine. 4(c) Design a Turing Machine that takes 2 unary numbers on the tape, where the first number is greater than the second number, and computes and writes a unary number to the tape that is the first number minus the second number.arrow_forwardDescribe the concept of a transfer function in the context of system modeling. How is it used to represent a system's behavior?arrow_forwardFigure Q3bii 4. (a) Using the network reduction approach determine the system failure probability for the system shown in Figure Q4a. Parallel sections are fully redundant with the exception of the section which contains the components B,C,D and E where any 2 of the components are required to work for successful operation. The component failure probabilities are given by: qA=0:02, qb= qc= qb= qe=0.01, q= qG=0.015 and qH= q q=0.025. B C A D F E H Figure Q4aarrow_forwardProvide guidance on how to establish control for a machine in a finite state.arrow_forwardB6arrow_forwardGoal Solve for the performance coefficient of a refrigerator using a five-step process the includes:1. Making a state table.2. Making a process table.3. Calculating the totals for Work, Heat, and Internal-Energy-Change.4. Identifying the heat input (cold reservoir) and output (hot reservoir).5. Calculating the performance coefficient of the refrigerator.Problem Shown in the figure to the right is a cyclic process undergone by a refrigerator. Your refrigerator shall use 5.0 moles of helium gas (monatomic). During the process a->b, the volume increases by a factor of 3.0. Solution- (1) Fill in the State Table (all pressures in Pascals, all volumes in cubic meters, all temperatures in K). Pressure Volume Temperature a b c (2) Fill in the Process Table (all entries in Joules). Work Heat dU a->b b->c c->a (3) Find the Totals: Work = J Heat = J dU = J (4) Find the heat input (from "cold…arrow_forwardQ3 (a) What is the definition of transfer function? (b) Describe the definition of open loop and closed loop system.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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